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Class 10 Mathematics - Quadratic Equations - Introduction to Quadratic Equations Easy Quiz

Mathematics Quadratic Equations Introduction to Quadratic Equations Easy Class 10 Level 28

Level 28 • 50/50 questions • 40 seconds per question.

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Question 1/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से कौन सा समीकरण द्विघात समीकरण है?

Which of the following equations is a quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x+2=0\)

Explanation

Simple Explanation

द्विघात समीकरण में (x) की सबसे बड़ी घात (2) होती है। परीक्षा में सबसे पहले घात देखें। / A quadratic equation has highest power (2) of (x). In exams first check the degree.

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Question 2/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(5x^2-2x+9=0\) में (a) का मान क्या है?

What is the value of (a) in the equation \(5x^2-2x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

मानक रूप \(ax^2+bx+c=0\) में (a) \(x^2\) का गुणांक होता है। यहां (a=5) है। / In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). Here (a=5).

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Question 3/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(3x^2+7x-4=0\) में (b) का मान क्या है?

What is the value of (b) in \(3x^2+7x-4=0\)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

मानक रूप में (b) (x) का गुणांक होता है। इसलिए (b=7) है। / In standard form, (b) is the coefficient of (x). So (b=7).

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Question 4/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(4x^2-8x+1=0\) में (c) का मान क्या है?

What is the value of (c) in \(4x^2-8x+1=0\)?

Explanation opens after your attempt
Correct Answer

C. (1)

Explanation

Simple Explanation

मानक रूप में (c) स्थिर पद होता है। यहां स्थिर पद (1) है। / In standard form, (c) is the constant term. Here the constant term is (1).

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Question 5/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न समीकरण \(x^2-6x=0\) में (c) का मान क्या है?

What is the value of (c) in \(x^2-6x=0\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इसे \(x^2-6x+0=0\) लिखा जा सकता है। अतः (c=0) है। / It can be written as \(x^2-6x+0=0\). Hence (c=0).

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Question 6/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(9x^2+11=0\) में \(x\) का मान क्या है?

What is the value of \(x\) in \(9x^2+11=0\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इसे \(9x^2+0x+11=0\) लिखा जाता है। इसलिए \(x=0\) है। / It is written as \(9x^2+0x+11=0\). So \(x=0\).

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Question 7/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

किस शर्त पर \(ax^2+bx+c=0\) द्विघात समीकरण कहलाता है?

Under which condition is \(ax^2+bx+c=0\) called a quadratic equation?

Explanation opens after your attempt
Correct Answer

B. \(a\neq0\)

Explanation

Simple Explanation

द्विघात पद बना रहे इसलिए \(a\neq0\) होना चाहिए। परीक्षा में (a=0) होने पर यह रैखिक बन सकता है। / The quadratic term must remain, so \(a\neq0\). If (a=0), it may become linear.

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Question 8/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2+5x=3\) का मानक रूप क्या है?

What is the standard form of \(2x^2+5x=3\)?

Explanation opens after your attempt
Correct Answer

B. \(2x^2+5x-3=0\)

Explanation

Simple Explanation

सभी पद एक तरफ लाने पर \(2x^2+5x-3=0\) मिलता है। चिन्ह बदलना न भूलें। / Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.

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Question 9/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2=4x+12\) का मानक रूप कौन सा है?

Which is the standard form of \(x^2=4x+12\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-4x-12=0\)

Explanation

Simple Explanation

दाईं ओर के पदों को बाईं ओर लाने पर चिन्ह बदलते हैं। इसलिए \(x^2-4x-12=0\) सही है। / When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.

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Question 10/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण \(ax^2+bx+c=0\) के मानक रूप में है?

Which equation is in the standard form \(ax^2+bx+c=0\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+2x+1=0\)

Explanation

Simple Explanation

मानक रूप में दाईं ओर (0) होता है। विकल्प (A) इसी रूप में है। / In standard form the right side is (0). Option (A) matches this form.

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Question 11/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (x=2) है तो \(x^2-5x+6=0\) में बायां पक्ष कितना होगा?

If (x=2), what is the left side of \(x^2-5x+6=0\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

रखने पर \(2^2-5\cdot2+6=0\) मिलता है। इसलिए (x=2) समीकरण का हल है। / Substitution gives \(2^2-5\cdot2+6=0\). So (x=2) is a solution.

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Question 12/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा मान \(x^2-9=0\) का एक हल है?

Which value is one solution of \(x^2-9=0\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

\(3^2-9=0\) इसलिए (3) हल है। आसान प्रश्नों में मान रखकर जांच करें। / Since \(3^2-9=0\), (3) is a solution. For easy questions, check by substitution.

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Question 13/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2-4x+4=0\) में (x=2) रखने पर क्या मिलता है?

What do we get by putting (x=2) in \(x^2-4x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. (0=0)

Explanation

Simple Explanation

\(2^2-4\cdot2+4=0\) है। अतः (x=2) सही हल है। / We get \(2^2-4\cdot2+4=0\). Hence (x=2) is a correct solution.

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Question 14/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से कौन सा द्विघात बहुपद है?

Which of the following is a quadratic polynomial?

Explanation opens after your attempt
Correct Answer

B. \(x^2-3x+2\)

Explanation

Simple Explanation

द्विघात बहुपद की घात (2) होती है। \(x^2-3x+2\) में सबसे बड़ी घात (2) है। / A quadratic polynomial has degree (2). In \(x^2-3x+2\), the highest power is (2).

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Question 15/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण द्विघात नहीं है?

Which equation is not quadratic?

Explanation opens after your attempt
Correct Answer

C. \(x^3+x+1=0\)

Explanation

Simple Explanation

\(x^3+x+1=0\) की घात (3) है। इसलिए यह द्विघात समीकरण नहीं है। / The degree of \(x^3+x+1=0\) is (3). So it is not a quadratic equation.

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Question 16/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(6x^2=0\) के लिए (a), (b), (c) क्रमशः क्या हैं?

For \(6x^2=0\), what are (a), (b), (c) respectively?

Explanation opens after your attempt
Correct Answer

A. (6,0,0)

Explanation

Simple Explanation

इसे \(6x^2+0x+0=0\) लिखा जाता है। इसलिए (a=6), (b=0), (c=0) हैं। / It is written as \(6x^2+0x+0=0\). Therefore (a=6), (b=0), (c=0).

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Question 17/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

(x(x+5)=0) को मानक रूप में लिखिए।

Write (x(x+5)=0) in standard form.

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x=0\)

Explanation

Simple Explanation

गुणा करने पर \(x^2+5x=0\) मिलता है। कोष्ठक खोलते समय हर पद से गुणा करें। / Multiplying gives \(x^2+5x=0\). While opening brackets, multiply each term.

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Question 18/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

((x+2)(x+3)=0) का विस्तृत रूप क्या है?

What is the expanded form of ((x+2)(x+3)=0)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x+6=0\)

Explanation

Simple Explanation

विस्तार से \(x^2+3x+2x+6=0\) मिलता है। समान पद जोड़कर \(x^2+5x+6=0\) बनता है। / Expansion gives \(x^2+3x+2x+6=0\). Combining like terms gives \(x^2+5x+6=0\).

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Question 19/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

((x-4)(x+1)=0) का मानक रूप कौन सा है?

Which is the standard form of ((x-4)(x+1)=0)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-3x-4=0\)

Explanation

Simple Explanation

विस्तार करने पर \(x^2+x-4x-4=0\) मिलता है। इसलिए \(x^2-3x-4=0\) सही है। / Expanding gives \(x^2+x-4x-4=0\). So \(x^2-3x-4=0\) is correct.

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Question 20/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2+8x+16=0\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(x^2+8x+16=0\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह सामान्य परीक्षा गलती है। / When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.

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Question 21/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(-x^2+3x+10=0\) में (a) का मान क्या है?

What is the value of (a) in \(-x^2+3x+10=0\)?

Explanation opens after your attempt
Correct Answer

B. \(-1\)

Explanation

Simple Explanation

\(-x^2\) का गुणांक (-1) होता है। इसलिए (a=-1) है। / The coefficient of \(-x^2\) is (-1). So (a=-1).

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Question 22/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(x^2+6x+9=0\) को गुणनखंड रूप में दिखाता है?

Which option shows \(x^2+6x+9=0\) in factor form?

Explanation opens after your attempt
Correct Answer

A. \((x+3)^2=0\)

Explanation

Simple Explanation

\(x^2+6x+9\) एक पूर्ण वर्ग है। यह ((x+3)2) के बराबर है। / \(x^2+6x+9\) is a perfect square. It equals ((x+3)2).

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Question 23/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा मान \(x^2+x-6=0\) का हल है?

Which value is a solution of \(x^2+x-6=0\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

\(2^2+2-6=0\) है। इसलिए (x=2) इस समीकरण का हल है। / Since \(2^2+2-6=0\), (x=2) is a solution of the equation.

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Question 24/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?

If an equation in (x) has degree (2), what is it called?

Explanation opens after your attempt
Correct Answer

B. द्विघात समीकरणQuadratic equation

Explanation

Simple Explanation

घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें। / An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

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Question 25/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

निम्न में से किसमें \(x^2\) पद मौजूद है?

Which of the following contains the \(x^2\) term?

Explanation opens after your attempt
Correct Answer

C. \(x^2-2=0\)

Explanation

Simple Explanation

द्विघात समीकरण के लिए \(x^2\) पद आवश्यक है। विकल्प (C) में यह पद है। / The \(x^2\) term is necessary for a quadratic equation. Option (C) has this term.

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Question 26/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2+0x-7=0\) में रैखिक पद क्या है?

What is the linear term in \(2x^2+0x-7=0\)?

Explanation opens after your attempt
Correct Answer

B. (0x)

Explanation

Simple Explanation

रैखिक पद (x) वाला पद होता है। यहां वह (0x) है। / The linear term is the term containing (x). Here it is (0x).

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Question 27/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण \(x^2+2x+1=0\) के बराबर है?

Which equation is equivalent to \(x^2+2x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. \((x+1)^2=0\)

Explanation

Simple Explanation

((x+1)2=x-2+2x+1) होता है। पूर्ण वर्ग पहचानना तेजी से हल कराने में मदद करता है। / ((x+1)2=x-2+2x+1). Recognising perfect squares helps solve faster.

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Question 28/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2-16=0\) को गुणनखंड रूप में कैसे लिखेंगे?

How do we write \(x^2-16=0\) in factor form?

Explanation opens after your attempt
Correct Answer

A. \((x-4)(x+4)=0\)

Explanation

Simple Explanation

\(x^2-16\) वर्गों का अंतर है। इसलिए यह ((x-4)(x+4)) बनता है। / \(x^2-16\) is a difference of squares. Hence it becomes ((x-4)(x+4)).

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Question 29/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (x=1) है तो \(x^2+2x-3=0\) में बायां पक्ष कितना होगा?

If (x=1), what is the left side of \(x^2+2x-3=0\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

रखने पर \(1^2+2\cdot1-3=0\) मिलता है। इसलिए (1) एक हल है। / Substituting gives \(1^2+2\cdot1-3=0\). So (1) is a solution.

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Question 30/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(7x^2-14=0\) में (a), (b), (c) कौन से हैं?

What are (a), (b), (c) in \(7x^2-14=0\)?

Explanation opens after your attempt
Correct Answer

A. (7,0,-14)

Explanation

Simple Explanation

इसे \(7x^2+0x-14=0\) लिखें। इससे (a=7), (b=0), (c=-14) मिलते हैं। / Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).

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Question 31/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण (x) में द्विघात है लेकिन (y) में नहीं?

Which equation is quadratic in (x) but not in (y)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x+6=0\)

Explanation

Simple Explanation

विकल्प (A) में चर (x) की घात (2) है। इसलिए यह (x) में द्विघात है। / In option (A), the variable (x) has degree (2). So it is quadratic in (x).

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Question 32/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

(3x(x-2)=0) का मानक रूप क्या है?

What is the standard form of (3x(x-2)=0)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-6x=0\)

Explanation

Simple Explanation

(3x) को दोनों पदों से गुणा करने पर \(3x^2-6x=0\) मिलता है। चिन्ह पर ध्यान दें। / Multiplying (3x) by both terms gives \(3x^2-6x=0\). Watch the sign.

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Question 33/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (p(x)=x-2-1) है तो (p(1)) कितना है?

If (p(x)=x-2-1), what is (p(1))?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

(p(1)=12-1=0) है। जब (p(a)=0) हो तो (a) शून्यक कहलाता है। / (p(1)=12-1=0). When (p(a)=0), (a) is called a zero.

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Question 34/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(2x^2+3x+1=0\) में स्थिर पद है?

Which option is the constant term in \(2x^2+3x+1=0\)?

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Correct Answer

C. (1)

Explanation

Simple Explanation

स्थिर पद में (x) नहीं होता। इसलिए (1) स्थिर पद है। / The constant term does not contain (x). Hence (1) is the constant term.

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Question 35/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(x^2+10x=0\) में कौन सा पद अनुपस्थित है?

Which term is absent in \(x^2+10x=0\)?

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Correct Answer

C. स्थिर पदConstant term

Explanation

Simple Explanation

इसे \(x^2+10x+0=0\) माना जाता है। इसलिए स्थिर पद अनुपस्थित है। / It is treated as \(x^2+10x+0=0\). So the constant term is absent.

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Question 36/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण \(x^2+5=0\) की तरह शुद्ध द्विघात है?

Which equation is a pure quadratic like \(x^2+5=0\)?

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Correct Answer

A. \(x^2-9=0\)

Explanation

Simple Explanation

शुद्ध द्विघात में (x) वाला रैखिक पद नहीं होता। \(x^2-9=0\) ऐसा ही है। / A pure quadratic has no linear (x) term. \(x^2-9=0\) is of that type.

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Question 37/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2+4x+4=0\) में (x=-2) रखने पर क्या होगा?

What happens when (x=-2) is put in \(x^2+4x+4=0\)?

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Correct Answer

A. समीकरण संतुष्ट होता हैThe equation is satisfied

Explanation

Simple Explanation

((-2)2+4(-2)+4=0) है। अतः (x=-2) हल है। / ((-2)2+4(-2)+4=0). Hence (x=-2) is a solution.

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Question 38/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा रूप \(ax^2+bx+c=0\) में (a=2), (b=-5), (c=3) को दर्शाता है?

Which form represents (a=2), (b=-5), (c=3) in \(ax^2+bx+c=0\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-5x+3=0\)

Explanation

Simple Explanation

दिए गए मान सीधे मानक रूप में रखने पर \(2x^2-5x+3=0\) मिलता है। (b) का चिन्ह ध्यान रखें। / Putting the given values in standard form gives \(2x^2-5x+3=0\). Keep the sign of (b) carefully.

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Question 39/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि (a=1), (b=0), (c=-25) हैं तो समीकरण क्या होगा?

If (a=1), (b=0), (c=-25), what is the equation?

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Correct Answer

A. \(x^2-25=0\)

Explanation

Simple Explanation

\(ax^2+bx+c=0\) में रखने पर \(x^2+0x-25=0\) मिलता है। इसे \(x^2-25=0\) लिखते हैं। / Substituting in \(ax^2+bx+c=0\) gives \(x^2+0x-25=0\). This is written as \(x^2-25=0\).

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Question 40/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण मानक रूप में लाने पर \(x^2-7x+10=0\) बनता है?

Which equation becomes \(x^2-7x+10=0\) after writing in standard form?

Explanation opens after your attempt
Correct Answer

A. \(x^2-7x=-10\)

Explanation

Simple Explanation

\(x^2-7x=-10\) में (-10) को बाईं ओर लाने पर (+10) बनता है। इसलिए मानक रूप \(x^2-7x+10=0\) है। / In \(x^2-7x=-10\), moving (-10) to the left gives (+10). So the standard form is \(x^2-7x+10=0\).

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Question 41/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(x^2+3x+2=0\) में कितने अधिकतम वास्तविक हल हो सकते हैं?

What is the maximum number of real solutions possible for \(x^2+3x+2=0\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

द्विघात समीकरण के अधिकतम (2) वास्तविक हल हो सकते हैं। आसान प्रश्न में घात से अधिकतम हल का संकेत मिलता है। / A quadratic equation can have at most (2) real solutions. In easy questions, degree indicates the maximum possible solutions.

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Question 42/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(4x^2+4x+1=0\) में (a+b+c) का मान क्या है?

What is the value of (a+b+c) for \(4x^2+4x+1=0\)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

यहां (a=4), (b=4), (c=1) हैं। इसलिए (a+b+c=9) है। / Here (a=4), (b=4), (c=1). Therefore (a+b+c=9).

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Question 43/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(2x^2-3x-5=0\) में (a-b+c) का मान क्या है?

What is the value of (a-b+c) for \(2x^2-3x-5=0\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

यहां (a=2), (b=-3), (c=-5) हैं। इसलिए (a-b+c=2-(-3)-5=0) है। / Here (a=2), (b=-3), (c=-5). Thus (a-b+c=2-(-3)-5=0).

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Question 44/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

\(5x^2+2x-1=0\) की घात क्या है?

What is the degree of \(5x^2+2x-1=0\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है। / The highest power is (2). Therefore the equation is quadratic.

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Question 45/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा विकल्प \(x^2-2x-15=0\) का गुणनखंड रूप है?

Which option is the factor form of \(x^2-2x-15=0\)?

Explanation opens after your attempt
Correct Answer

A. \((x-5)(x+3)=0\)

Explanation

Simple Explanation

((x-5)(x+3)) फैलाने पर \(x^2-2x-15\) मिलता है। गुणनखंड जांचने के लिए विस्तार करें। / Expanding ((x-5)(x+3)) gives \(x^2-2x-15\). To check factors, expand them.

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Question 46/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि एक आयत की लंबाई (x+3) और चौड़ाई (x) है तथा क्षेत्रफल (10) है तो समीकरण क्या बनेगा?

If a rectangle has length (x+3) and width (x), and area (10), what equation is formed?

Explanation opens after your attempt
Correct Answer

A. (x(x+3)=10)

Explanation

Simple Explanation

क्षेत्रफल लंबाई और चौड़ाई का गुणनफल होता है। इसलिए समीकरण (x(x+3)=10) बनेगा। / Area is the product of length and width. So the equation is (x(x+3)=10).

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Question 47/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

दो लगातार धन पूर्णांकों का गुणनफल (30) है। यदि छोटा पूर्णांक (x) है तो समीकरण क्या होगा?

The product of two consecutive positive integers is (30). If the smaller integer is (x), what is the equation?

Explanation opens after your attempt
Correct Answer

A. (x(x+1)=30)

Explanation

Simple Explanation

लगातार अगला पूर्णांक (x+1) होगा। गुणनफल (30) है इसलिए (x(x+1)=30) बनेगा। / The next consecutive integer is (x+1). Since the product is (30), the equation is (x(x+1)=30).

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Question 48/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

किस विकल्प में सामान्य गलती है जब \(x^2=5x-6\) को मानक रूप में बदला जाता है?

Which option shows the common mistake while converting \(x^2=5x-6\) to standard form?

Explanation opens after your attempt
Correct Answer

B. \(x^2-5x-6=0\)

Explanation

Simple Explanation

सही रूप \(x^2-5x+6=0\) है। विकल्प (B) में (-6) का चिन्ह नहीं बदला गया। / The correct form is \(x^2-5x+6=0\). In option (B), the sign of (-6) was not changed.

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Question 49/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

कौन सा समीकरण (x=0) को हल के रूप में रखता है?

Which equation has (x=0) as a solution?

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x=0\)

Explanation

Simple Explanation

(x=0) रखने पर विकल्प (A) में (0=0) मिलता है। हल जांचने का सबसे सरल तरीका प्रत्यक्ष प्रतिस्थापन है। / Putting (x=0) in option (A) gives (0=0). Direct substitution is the simplest way to check a solution.

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Question 50/50 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2+kx+12=0\) एक द्विघात समीकरण है तो (k) किस पद का गुणांक है?

If \(x^2+kx+12=0\) is a quadratic equation, then (k) is the coefficient of which term?

Explanation opens after your attempt
Correct Answer

B. (x) पद(x) term

Explanation

Simple Explanation

मानक रूप \(ax^2+bx+c=0\) में (x) का गुणांक (b) होता है। यहां (kx) में (k) (x) का गुणांक है। / In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).

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